Finding the Third Proportional to 7,833.75 and 12,227.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,833.75 : 12,227.06 = 12,227.06 : x
2. Step 2: Convert to fraction form
   7,833.75/12,227.06 = 12,227.06/x
3. Step 3: Cross multiply
   7,833.75x = 12,227.06 × 12,227.06
4. Step 4: Simplify right side
   7,833.75x = 149,501,057.38
5. Step 5: Solve for x
   x = 149,501,057.38/7,833.75
6. Step 6: Final answer
   x = 19,084.23